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Finding the Fourth Proportional to 47,756.38, 65,904.11 and 29,861.86

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Solution

The fourth proportional to 47,756.38, 65,904.11 and 29,861.86 is: 41,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,756.38 : 65,904.11 = 29,861.86 : x
  2. Step 2: Convert to fraction form
    47,756.38/65,904.11 = 29,861.86/x
  3. Step 3: Cross multiply
    47,756.38x = 65,904.11 × 29,861.86
  4. Step 4: Simplify right side
    47,756.38x = 1,968,019,216.14
  5. Step 5: Solve for x
    x = 1,968,019,216.14/47,756.38
  6. Step 6: Final answer
    x = 41,209.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.